The slope of lines which makes an angle 60^ with the line y-3 x+18=0

Step-by-step solution

Slope of the line, aligned & y-3 x+18=0 & y=3 x-18 Slope (m₁ )=3 aligned and angle ( )=60^ aligned & so, 60^ = | m₁-m₂ 1+m₁ m₂ | & 3 = | 3-m₂ 1+3 m₂ | aligned 3-m₂ 1+3 m₂ = 3 Either, 3-m₂ 1+3 m₂ = 3 or 3-m₂ 1+3 m₂ =- 3 array ll & 3-m₂= 3 +3 3 m₂ or & 3-m₂=- 3 -3 3 m₂ & m₂(1+3 3 )=3- 3 array m₂(1+3 3 )=3- 3 or m₂(1-3 3 )=3+ 3 m₂= 3- 3 1+3 3 or m₂= 3+ 3 1-3 3 m₂= 3- 3 1+3 3 , 3+ 3 1-3 3